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Bell Ringer Solve c – 2 > 20. Go over homework. 6-6 Solving Inequalities by Multiplying or Dividing Objective The student will be able to:. solve inequalities using multiplication and division. POSITIVE NUMBERS ONLY Multiplication & Division properties of inequalities.

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## Bell Ringer Solve c – 2 > 20

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**Bell RingerSolve c – 2 > 20**Go over homework**6-6 Solving Inequalities by Multiplying or**DividingObjectiveThe student will be able to: solve inequalities using multiplication and division.**POSITIVE NUMBERS ONLYMultiplication & Division properties of**inequalities You can multiply or divide the same positive number or positive term on each side of the inequality, the relationship between the two sides does not change. 8p ≥ -96 < -10 ≥ The inequality stays the same**NEGATIVE NUMBERS ONLYMultiplication & Division properties of**inequalities When multiplying or dividing the same negative number or negative term on each side of the inequality, you must reverse the inequality sign -8p ≥ -96 > -10 ≤ < -3 The inequality gets flipped every time you * or / by a negative number**To solve for a variable the variable must be positive with**no number beside it!! x = 10 Solved - x = -5 Not solved 2x = 5 Not solved -3x =6 Not solved**o**-53 -52 -51 1) Solve > 13 • Draw “the river” • Clear the fraction - Multiply both sides by -4 • NEW STEP!! When multiplying BOTH sides by a NEGATIVE number, SWITCH the inequality! • Simplify • Check your answer • Graph the solution k < -52**Answer Now**2) When solving < -10will the inequality switch? • Yes! • No! • I still don’t know!**o**-31 -30 -29 • Draw “the river” • Clear the fraction - Multiply both sides by 3. Do you switch the inequality? • No - Both sides are being multiplied by a positive number • Simplify • Check your answer • Graph the solution 2) Solve < -10 x < -30**Answer Now**3) When solving will the inequality switch? • Yes! • No! • I still don’t know!**o**-25 -24 -23 3) Solve • Draw “the river” • Clear the fraction - Multiply both sides by -4. Do you switch the inequality? • Yes - Both sides are being multiplied by a negative number • Simplify • Check your answer • Graph the solution a > -24**●**11 12 13 4) Solve -8p ≥ -96 • Draw “the river” • Divide both sides by -8. Do you switch the inequality? • Yes - Both sides are being divided by a negative number • Simplify • Check your answer • Graph the solution p ≤ 12 -8(12) = -96**o**-5 -4 -3 o -5 -4 -3 ● -5 -4 -3 -5 -4 -3 Answer Now 1) Which graph represents the correct answer to > 1 Multiply both sides by -4 Switch inequality sign K < -4 ●**o**-16 -15 -14 o -16 -15 -14 ● -16 -15 -14 -15 -15 -14 Answer Now 5) Solve 7v < -105 Divide both sides by 7 V < -15 ●**HW - > page 291 #6-22 even**6-12 show work (2 pts each) 14-20 show work and graph solution (3pts each)

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